Prime p₀= 2267191924124675687 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 10 2 28 2 28 2 10 2 (?)
a_n: 0 2 12 14 42 44 72 74 84 86
All 10 integers p_n = p₀+a_n = p_n-1+d_n are prime and there are no other primes in the gaps.
diameter: 86
Found by: Landjunge
db: batch=81, k=10, 2 10 2 28 2

SPT(16)	2267190603780131437	0 16 46 52 70 100 126 172 240 286 312 342 360 366 396 412	-1320344544250
STPT(10)	2267190644037134111	0 2 6 8 18 20 30 32 36 38	-1280087541576
TPT(14)	2267190777086898107	0 2 30 32 90 92 102 104 210 212 252 254 354 356	-1147037777580
SPT(16)	2267191413167811511	0 36 42 52 196 238 250 262 276 288 300 342 486 496 502 538	-510956864176
STPT(10)	2267191431817159787	0 2 30 32 60 62 90 92 120 122	-492307515900
SPT(16)	2267191575532758493	0 36 64 90 94 124 136 166 204 234 246 276 280 306 334 370	-348591917194
SPT(16)	2267191937110043681	0 8 78 80 152 162 168 210 290 332 338 348 420 422 492 500	12985367994
TPT(14)	2267192381324877401	0 2 36 38 90 92 96 98 108 110 126 128 246 248	457200201714
STPT(10)	2267192433308157767	0 2 24 26 42 44 60 62 84 86	509183482080
SPT(16)	2267192571022178879	0 30 50 80 84 104 120 122 210 212 228 248 252 282 302 332	646897503192
SPT(16)	2267192680619820211	0 10 30 40 66 90 100 112 156 168 178 202 228 238 258 268	756495144524